Complex Numbers And Quadratic Equations question 739
Question: If $ x_1,x_2,x_3 $ are distinct roots of the equation $ ax^{2}+bx+c=0 $ then
Options:
A) $ a=b=0,c\in R $
B) $ a=c=0,b\in R $
C) $ b^{2}-4ac\ge 0 $
D) $ a=b=c=0 $
Show Answer
Answer:
Correct Answer: D
Solution:
Since quadratic equation $ ax^{2}+bx+c=0 $ has three distinct roots so it must be an identity. So $ a=b=c=0 $ .